Identify the slope (m) and y-intercept (b) for 3x + 4y = 9.

Answers

Answer 1

Answer:

slope= -¾

[tex]y - intercept = 2 \frac{1}{4} [/tex]

Step-by-step explanation:

3x +4y= 9

Let's rewrite the equation into the form of y= mx +b (known as slope-intercept form), where m is the slope and b is the y-intercept.

Keep the y term on the left-hand side of the equation and move all the other terms to the right-hand side.

4y= -3x +9

For the coefficient of y to be 1, divide both sides of the equation by 4.

[tex]y = - \frac{3}{4} x + \frac{9}{4} [/tex]

[tex]y = - \frac{3}{4} x + 2 \frac{1}{4} [/tex]

[tex]slope = - \frac{3}{4} [/tex]

[tex]y - intercept = 2 \frac{1}{4} [/tex]


Related Questions

Tom finished 2/4 , of his math homework on the school bus. What percent did he finish on the
bus?

Answers

Answer:

50

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

2/4 = 1/2

1/2 = 0.5

0.5 = 50%

(Could explain slightly more but this should get the point across!)

One match releases approximately 1,100 joules of heat energy when it is lit. If 1 joule equals 0.239 calories , how many of these matches must be lit to produce 2, 100cg calories of heat energy ?

Answers

8 of the matches has to be lit, in order to produce 2100 calories of heat energy

If 1 match releases 1100 joules of heat energy and we know that 1 joule = 0.239 calories. This means that 1 match releases 1100 * 0.239 calories

1 match releases 262.9 calories.

Again, if 1 match produces 262.9 calories, then

1 match = 262.9 calories

x match = 2100 calories

if we cross multiply, we have

1 match * 2100 calories = x match * 262.9 calories

x match = 2100/262.9

x match = 7.987 matches

Therefore, approximately 8 matches are needed

Visit here to learn more about conversion between units https://brainly.com/question/19420601



Nga's car insurance premium increased by $60, which was 8% of the original cost. What was the original cost of premium?

Answers

Answer:

  $750

Step-by-step explanation:

If p represents the original cost, the relationship expressed in the problem statement is ...

  60 = 0.08p

Dividing by 0.08, we find ...

  p = 60/0.08 = 750

The original cost of the premium was $750.

Calculating interest

Answers

Answer:

Simple Interest is calculated using the following formula: SI = P × R × T, where P = Principal, R = Rate of Interest, and T = Time period. Here, the rate is given in percentage (r%) is written as r/100. And the principal is the sum of money that remains constant for every year in the case of simple interest.

Step-by-step explanation:

hope this helps

the question next to the graph!

Answers

Answer:

Yes there is a proportionality between the amount of money she arns and the hours she works. For every 2 hours she works she earns 30 dollars. Which means she makes 15 dollars an hour.

Step-by-step explanation:

el desempeño 29 porfaaa

Answers

Step-by-step explanation:

1 more time solve and answer is ready

ILL GIVE BRAINLIST ! Jamie spends the day at an amusement park. The table shows how many
tickets Jamie has after riding some amusement park rides. It represents a
linear function.
Number of rides
0
1
2
3
4
Number of tickets
16
12
8
4
0
What is the y-intercept of the function shown in the table, and what does it
represent?
A. The y-intercept is (4,0). Jamie uses 4 tickets per ride.
OB. The y-intercept is. (0,16). Jamie uses 16 tickets per ride.
C. The y-intercept is (0,16). Jamie has 16 tickets before going on any
rides.
O D. The y-intercept is (4,0), Jamie goes on 4 rides.

Answers

Answer:

The y-intercept is (0,16). Jamie has 16 tickets before going on any

rides.

Step-by-step explanation:

Which of the following number forms a pattern
(a) – 6 , - 3 , 0 , 3 (b) – 5 , - 3 , - 2 , 0 (c) 0 , 2 , 3 , 4 (d) 1 , 2 , 4 , 6

Answers

Answer:

the answer is A since it forms a pattern :>

A line containing the points (x, 1) and (2, 4) has a slope of 1/4. Find the value of x.

Answers

Answer:

Step-by-step explanation:

Givens

m = 1/4

y2 = 4

y1 = 1

x2 = 2

x1 = x

m = (y2 - y1) / (x2 - x1)

Solution

1/4 = (4 - 1) / (2- x)                Simplify

1/4 = 3 / (2 - x)                      Cross multiply

2- x =12                               Subtract 1 from both sides

-x = 12 - 2

-x = 10                                 Multiply by -1

x = -10

Check

1/4 = (4 - 1) / (2 - - 10)

1/4 = 3/(2 + 10)

1/4 = 3 / 12

1/4 = 1/4

Odd as the answer is, it does check.

The angle of elevation from the tip of the shadow to the top of the tree is 36°. Find the distance from the top of the tree to the tip of the shadow. Round the answer to the nearest tenth. A. 26. 7 feet b. 30. 2 feet c. 40. 8 feet d. 42. 9 feet.

Answers

The expression that represents the required distance is [tex]\mathbf{ s = \frac{h}{0.5878}}[/tex]

The given parameters are:

[tex]\mathbf{\theta =36^o}[/tex] --- the angle of elevation to the top of the tree

To do this, we make use of the following representations

s represents the distance from the tip of the shadow to the top of the treeh represents the height of the tree

The distance (s) is then calculated using the following sine ratio

[tex]\mathbf{ sin(\theta) = \frac{h}{s}}[/tex]

Make s the subject

[tex]\mathbf{ s = \frac{h}{sin(\theta)}}[/tex]

Substitute [tex]\mathbf{\theta =36^o}[/tex]

[tex]\mathbf{ s = \frac{h}{sin(36)}}[/tex]

Evaluate sin(36)

[tex]\mathbf{ s = \frac{h}{0.5878}}[/tex]

The height of the tree is not known.

Hence, the expression that represents the required distance is [tex]\mathbf{ s = \frac{h}{0.5878}}[/tex]

Read more about elevations and distance at:

https://brainly.com/question/14550522

The expression that represents the required distance is

The given parameters are:

--- the angle of elevation to the top of the tree

To do this, we make use of the following representations

s represents the distance from the tip of the shadow to the top of the tree

h represents the height of the tree

The distance (s) is then calculated using the following sine ratio

Make s the subject

Substitute

Evaluate sin(36)

The height of the tree is not known.

Hence, the expression that represents the required distance is

Read more about elevations and distances at:

brainly.com/question/14550522

#SPJ4

A sixth grade class has 12 boys and 24 girls.

For every 2 boys, there are 4 girls. Do you agree with this statement? Explain.

Answers

Answer:

Yes

Step-by-step explanation:

The best way to solve this question is to use ratios. The first ratio to make is 12:24. This represents how there are 12 boys for 24 girls. Ratios remain equivalent as long as both sides of the ratio are simplified by the same number. So, you can divide both sides by 6. When you divide both sides you get 2:4. Therefore, there are 2 boys for 4 girls.

June who is 45 years old, is three times older than her son, James. James is five years older than his sister Rachel. How old is Rachel?

Answers

Answer:

rachel is 10

Step-by-step explanation:

45/3=15

15-5=10

Answer : 10

Explanation : To find James you take 45 and divide by 3. To find Rachel you take 15-5=10

Twelve football teams are playing in a league. Each team played each of the other teams exactly once. How many matches were played in the league? *
1 point
a. 72
b. 66
c. 11
d. 132

Answers

Each team will play with 11 other teams. Hence each team plays 11 games. Hence a total of 11*12 =132 games but since each game involves two teams divide 132/2 = 66 so B

Simplify the exponential expression 48 Superscript one-half.

Answers

Your answer should be 4 3 (1/2

Given a 45-45-90 triangle with the hypotenuse measuring 5√7 feet. Which is the exact measure of each leg?

Answers

Answer:

Step-by-step explanation:

First, we know a 45-45-90 triangle has two legs that are the same because two angles are the same, so we can say that:

[tex]$a^2+b^2=c^2=a^2+a^2=c^2$[/tex]

Remember that [tex]a^2[/tex] and [tex]a^2[/tex] are the legs, which are the same length, so we can do this. Now, we solve the equation.

[tex]a^2+a^2=c^2\\2a^2=5\sqrt{7}\\2a=(5\sqrt{7})^2\\2a=5\\a=\frac{5}{2}[/tex]

HOPE THIS HELPS :D

The Pythagoras is the sum of the square of two sides equal to the square of the longest side. Then the exact measure of each leg is 9.4 ft.

What is a right-angle triangle?

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

A right-angle 45-45-90 triangle with the hypotenuse measuring 5√7 feet.

We know that if two angles of any triangle are the same then their opposite sides are also the same.

Let each side length of x ft. Then by the Pythagoras theorem. we have

[tex]\begin{aligned} x^2 + x^2 &= (5\sqrt7)^2\\\\2x^2 &= 25 \times 7\\\\x^2 &= \dfrac{175}{2}\\\\x^2 &= 87.5\\\\x &= 9.354 \approx 9.4 \ \rm ft \end{aligned}[/tex]

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!6

Answers

The correct answer choice is option B

A student is making a model of the famous Giza pyramid,
which has four triangular sides and a square base. The
scale of the model is 1:1,000.
How many sides should the model pyramid have?
A. 6
B. 4.
C. 3
D. 12

Answers

Answer:

Choose the option D

I think it’s B. The original model has 4 sides and it wouldn’t make sense to increase the number of sides for its replica. It would still have 4 sides but in a smaller scale.

A video game has five stages. If Will beat 4/5 of the stages, what percent of the game has he finished

Answers

Answer:

75%

Step-by-step explanation:

1 = 10%

2 = 25%

3 = 50%

4 = 75%

5 = 100%

There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a blue marble is
5\12
There are 84 marbles in total in the bag and each is equally likely to be chosen.
Work out how many red marbles there must be.

Answers

Answer:

49 red marbles

Step-by-step explanation:

We should first make 5/12 have a base of 84, so that'll be

(5*7)/(12*7)=35/84. So we have 35 blue marbles and all the rest are red, so 84-35=49

DUBS

Please consider giving me a brainliest! Thank you.

A recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water and 3/4 quarts of grape juice. How much of each ingredient would you need to make 100 quarts of punch?

Answers

Answer:

Step-by-step explanation:

Sparkling grape juice is made with 1.5 quarts sparkling water and 0.75 quarts grape juice. When these two get mixed we get 2.25 quarts sparkling grape juice

So for 2.25 quarts sparkling grape juice we require 1.5 quarts sparkling water

⇒ For 100 quarts sparkling grape juice we require  * 100 quarts of sparkling water

⇒ Sparkling water required for 100 quarts of sparking grape juice = 66.67 quarts

what is the slope of this line

Answers

The slope is -4/3

This is because from the first dot to the second it is going down (negative) four the to the right (positive) three.

Old McDonald's 3 hens lay the same number of eggs one week. This gives Old McDonald's wife enough eggs for two recipes. One recipe requires 10 eggs and the other recipe requires 2 eggs. How many eggs did each hen lay?

Answers

I think the answer is 4 because you add the 10 and 2 and you get 12 and then divide that by how many hens there are (3). The answer is 4

Create a probability model for the outcome of performing 2 spins. What is the probability of NOT landing on yellow or red at all?

Answers

Using the concept of probability, the probability of not landing on yellow or red at all is 1/4.

Creating a square model of the two spins :

Red(R) ; Blue(B) ; Green(G) ; Yellow(Y)

___ R ___ B ___ G ___ Y

R_ RR __ RB __ RG __ RY

B_ BR __ BB __ BG __ BY

G_ GR __GB __ GG __GY

Y_ YR __ YB __ YG __ YY

Sample space = = 16

Combinations without red and yellow :

{BB, BG, GB, GG} Number of selections without red or yellow = 4

Recall :

Probability = required outcome / Total possible outcomes

P(without Red or Yellow) = 4/16 = 1/4

Hence, the probability of not landing on yellow or red at all is 1/4.

Learn more : https://brainly.com/question/14605518

Please can someone help with rearranging formulae? Will mark brainliest!

Answers

Answer:

look at the picture ..........

What percentage of goldfish will have lengths between 4. 6 inches and 9. 4 inches? 34% 68% 95% 99. 7%.

Answers

Using the Empirical Rule, it is found that 95% of goldfish will have lengths between 4. 6 inches and 9. 4 inches.

The Empirical Rule states that, for a normal variable:

Approximately 68% of the measures are within 1 standard deviation of the mean. Approximately 95% of the measures are within 2 standard deviations of the mean. Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem:

The mean is of 7 inches.The standard deviation is of 1.2 inches.

4.6 = 7 - 2(1.2)

9.4 = 7 + 2(1.2)

Within 2 standard deviations of the mean, hence, 95% of goldfish will have lengths between 4. 6 inches and 9. 4 inches.

A similar problem is given at https://brainly.com/question/24537145

Which expression simplifies to 5√3?

Answers

Answer:

C.

[tex] \sqrt{75} [/tex]

Step-by-step explanation:

You can just enter it in the calculator to see which is equal to

[tex]5 \sqrt{3} [/tex]

Give me some tips for the Shsat that is tomorrow.

Answers

Answer:

1. Sleep well

2. Eat a proper meal to increase your energy

3. Do the ones you are good at first. Skip the harder questions

4. There are 2 parts. One is ELA while the other is math. Do the one that you are good at first so you wouldn't be annoyed.

5. When you are finished filling out the test slip double-check your work that way you could see which one you got wrong.

6. Have faith in yourself. :)

Step-by-step explanation:

Someone plz help me :(

Answers

Answer:

yes its B................

B is the answer.

4 to the 3 power
4x4x4

pls give ans for the following image

Answers

Answer:

7 [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

The reciprocal of a number n is [tex]\frac{1}{n}[/tex]

The reciprocal of 8 is [tex]\frac{1}{8}[/tex]

The reciprocal of [tex]\frac{1}{7}[/tex] is [tex]\frac{1}{\frac{1}{7} }[/tex]  = 7

sum = 7 + [tex]\frac{1}{8}[/tex] = 7 [tex]\frac{1}{8}[/tex]

help plz I need to solve this ​

Answers

Answer:

2,5

Step-by-step explanation:

Answer:

Slope = 2.5

This means that 2.5 mm of rain falls every 1 hour

Step-by-step explanation:

Slope if the line is y2-y1/x2-x1

so 10-5/4-2

5/2

2.5 mm/hr

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